# Precalculus Examples

, ,

Step 1

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by gives the next term. In other words, .

Geometric Sequence:

Step 2

This is the form of a geometric sequence.

Step 3

Substitute in the values of and .

Step 4

Step 4.1

Rewrite as .

Step 4.2

Multiply the exponents in .

Step 4.2.1

Apply the power rule and multiply exponents, .

Step 4.2.2

Apply the distributive property.

Step 4.2.3

Multiply by .

Step 4.3

Use the power rule to combine exponents.

Step 4.4

Subtract from .